On Decomposing Betti Tables andO-Sequences

DOI10.1080/00927872.2015.1087538zbMath1408.13033arXiv1407.4085OpenAlexW2962868252MaRDI QIDQ2817198

David II Cook

Publication date: 29 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4085

zbMATH Keywords

Betti numberspure resolutionsBoij-Söderberg theory\(O\)-sequences

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

The uniform face ideals of a simplicial complex

Uses Software

• BoijSoederberg

Cites Work

• Combinatorial interpretations of some Boij-Söderberg decompositions
• Betti diagrams from graphs
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• Non-simplicial decompositions of Betti diagrams of complete intersections
• The existence of equivariant pure free resolutions
• Hilbert functions of \(d\)-regular ideals
• Betti numbers of graded modules and cohomology of vector bundles
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture

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